2(x-3)+3(2x+4)=

Solution for 2(x-3)+3(2x+4)= equation:

Simplifying
2(x + -3) + 3(2x + 4) = 0

Reorder the terms:
2(-3 + x) + 3(2x + 4) = 0
(-3 * 2 + x * 2) + 3(2x + 4) = 0
(-6 + 2x) + 3(2x + 4) = 0

Reorder the terms:
-6 + 2x + 3(4 + 2x) = 0
-6 + 2x + (4 * 3 + 2x * 3) = 0
-6 + 2x + (12 + 6x) = 0

Reorder the terms:
-6 + 12 + 2x + 6x = 0

Combine like terms: -6 + 12 = 6
6 + 2x + 6x = 0

Combine like terms: 2x + 6x = 8x
6 + 8x = 0

Solving
6 + 8x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.
6 + -6 + 8x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 0 + -6
8x = 0 + -6

Combine like terms: 0 + -6 = -6
8x = -6

Divide each side by '8'.
x = -0.75

Simplifying
x = -0.75